The line segment QR is a diameter of the circle centre C, where Q and R have

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The line segment QR is a diameter of the circle centre C, where Q and R have coordinates (11, 12) and (−5, 0) respectively. The point P has coordinates (13, 6).

a. Find the coordinates of C.

b. Find the radius of the circle.

c. Write down the equation of the circle.

d. Show that P lies on the circle.

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